WDVV Equations as Functional Relations

Abstract

We discuss the associativity or WDVV equations and demonstrate that they can be rewritten as certain functional relations between the {\it second} derivatives of a single function, similar to the dispersionless Hirota equations. The properties of these functional relations are further discussed.

9 pages LaTex. Typos in equations (33) and (38) corrected

References in corpus (1)

• On Associativity Equations in Dispersionless Integrable Hierarchies

Cited by in corpus (5)

• The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
• DV and WDVV
• Integrable Structure of the Dirichlet Boundary Problem in Multiply-Connected Domains
• Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
• Second order reductions of the WDVV Equations related to classical Lie algebras